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Finding the Fourth Proportional to 139,959, 193,212.38 and 96,971.09

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Solution

The fourth proportional to 139,959, 193,212.38 and 96,971.09 is: 133,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,959 : 193,212.38 = 96,971.09 : x
  2. Step 2: Convert to fraction form
    139,959/193,212.38 = 96,971.09/x
  3. Step 3: Cross multiply
    139,959x = 193,212.38 × 96,971.09
  4. Step 4: Simplify right side
    139,959x = 18,736,013,639.18
  5. Step 5: Solve for x
    x = 18,736,013,639.18/139,959
  6. Step 6: Final answer
    x = 133,867.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.